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BaseRepresentation
bin1011011111110001
32101121001
423133301
53001324
61002001
7254200
oct133761
971531
1047089
1132419
1223301
1318583
1413237
15de44
hexb7f1

47089 has 9 divisors (see below), whose sum is σ = 56601. Its totient is φ = 39060.

The previous prime is 47087. The next prime is 47093. The reversal of 47089 is 98074.

47089 = T17 + T18 + ... + T65.

The square root of 47089 is 217.

It is a perfect power (a square), and thus also a powerful number.

47089 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 47089 - 21 = 47087 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1504 + ... + 1534.

It is an arithmetic number, because the mean of its divisors is an integer number (6289).

247089 is an apocalyptic number.

47089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

47089 is the 217-th square number.

47089 is the 109-th centered octagonal number.

It is an amenable number.

47089 is a deficient number, since it is larger than the sum of its proper divisors (9512).

47089 is an equidigital number, since it uses as much as digits as its factorization.

47089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The cubic root of 47089 is about 36.1110255532. Note that the first 3 decimals are identical.

The spelling of 47089 in words is "forty-seven thousand, eighty-nine".

Divisors: 1 7 31 49 217 961 1519 6727 47089